The Bonferroni mean is an important aggregation technique which can reflect the correlations of the aggregation arguments. The classical Bonferroni mean is an extension of the arithmetic mean, and is generalized by some researchers based on the idea of the geometric mean. In this paper, based on the Bonferroni mean and the harmonic mean, we introduce some new aggregating operators: the fuzzy Bo...

In this article we extend the similarity classifier to cover also Ordered Weighted Averaging (OWA) operators. Earlier, similarity classifier was mainly used with generalized mean operator, but in this article we extend this aggregation process to cover more general OWA operators. With OWA operators we concentrate on linguistic quantifier guided aggregation where several different quantifiers ar...

In this article we are presenting two new classes of t-norm and t-conorm based generalized means with weights. We are going to test usability of these measures which we get by combining classes of t-norms and t-conorms to the generalized mean operator. Since we are using the generalized mean we have an additional parameter that controls the power which the argument values are raised. Dombi and ...

We conjecture a geometrical form of the Paley–Wiener theorem for the Dunkl transform and prove three instances thereof, by using a reduction to the one-dimensional even case, shift operators, and a limit transition from Opdam’s results for the graded Hecke algebra, respectively. These Paley– Wiener theorems are used to extend Dunkl’s intertwining operator to arbitrary smooth functions. Furtherm...

This work concerns the approximation of the shape operator of smooth surfaces in R from polyhedral surfaces. We introduce two generalized shape operators that are vector-valued linear functionals on a Sobolev space of vector fields and can be rigorously defined on smooth and on polyhedral surfaces. We consider polyhedral surfaces that approximate smooth surfaces and prove two types of approxima...

the aim of this paper is to show that under some mild conditions a functional equation of multiplicative (; )-derivation is superstable on standard operator algebras. furthermore, we prove that this generalized derivation can be a continuous and an inner (; )- derivation.

Let $h$ be a harmonic function defined on spherical disk. It is shown that $\Delta ^k |h|^2$ nonnegative for all $k\in \mathbb {N}$ where $\Delta$ the Laplace-Beltrami operator. This fact generalized to functions disk in normal homogeneous compact Riemannian manifold, and particular symmetric space of type. complements similar property $\mathbb {R}^n$ discovered by first two authors related str...